Parallel and Intersecting Lines explains how lines meet, cross, stay apart, or form angles on a plane surface. Students learn angle relations such as linear pairs, vertically opposite angles, corresponding angles, alternate angles, and interior angles.
Important Questions Class 7 Maths Chapter 5 help students practise the key ideas from Parallel and Intersecting Lines in an exam-focused way. This chapter builds geometry through paper folding, line drawings, protractor use, dot paper activities, and angle reasoning.
Students learn how two lines form angles, why vertically opposite angles are equal, how parallel lines stay apart, and how a transversal creates special angle pairs. These questions improve diagram reading, proof-based thinking, and confidence in geometry questions for 2026 exams.
Key Takeaways
| Topic |
What Students Should Remember |
| Intersecting lines |
Two lines meet at one point and form four angles |
| Linear pair |
Adjacent angles on a straight line add up to 180° |
| Vertically opposite angles |
Opposite angles formed by intersecting lines are equal |
| Perpendicular lines |
Lines that meet at 90° are perpendicular |
| Parallel lines |
Lines on the same plane never meet |
| Transversal |
A line that intersects two or more lines |
| Corresponding angles |
Equal when a transversal cuts parallel lines |
| Alternate angles |
Equal when a transversal cuts parallel lines |
| Interior angles |
Same-side interior angles add up to 180° |
Important Questions Class 7 Maths Chapter 5 Overview
Important Questions Class 7 Maths Chapter 5 focus on line relationships, angle pairs, and transversal rules. Students should first learn intersecting lines, then move to perpendicular lines, parallel lines, and angle relations formed by transversals.
This chapter is important because it teaches students to find angles without measuring them every time. The main rules are linear pair = 180°, vertically opposite angles are equal, corresponding angles are equal, alternate angles are equal, and same-side interior angles add up to 180°.
Class 7 Maths Chapter 5 Parallel and Intersecting Lines MCQs
MCQs from this chapter check whether students can identify angle pairs and line relationships quickly. Read the diagram or statement carefully before choosing the rule.
Q1. How many angles are formed when two lines intersect?
(a) 2
(b) 3
(c) 4
(d) 8
Answer: (c) 4
Two intersecting lines form four angles around the point of intersection.
Q2. What is the sum of angles in a linear pair?
(a) 90°
(b) 120°
(c) 180°
(d) 360°
Answer: (c) 180°
A linear pair forms a straight angle, so the sum is 180°.
Q3. Lines that meet at 90° are called:
(a) Parallel lines
(b) Perpendicular lines
(c) Curved lines
(d) Transversals
Answer: (b) Perpendicular lines
Perpendicular lines intersect at a right angle.
Q4. A line that cuts two or more lines at different points is called a:
(a) Ray
(b) Segment
(c) Transversal
(d) Vertex
Answer: (c) Transversal
A transversal intersects two or more lines at distinct points.
Q5. If a transversal cuts two parallel lines, corresponding angles are:
(a) Equal
(b) Unequal
(c) Always 90°
(d) Always 180°
Answer: (a) Equal
Corresponding angles are equal when the two lines are parallel.
Class 7 Maths Chapter 5 Important Questions on Intersecting Lines
Class 7 Maths Chapter 5 important questions begin with intersecting lines because all later angle rules build from this idea. Students should first understand what happens when two straight lines meet.
Important Questions Class 7 Maths Chapter 5 on Intersecting Lines
Q1. What is the name of Class 7 Maths Chapter 5 in the new book?
Class 7 Maths Chapter 5 is Parallel and Intersecting Lines.
Q2. What are intersecting lines?
Intersecting lines are lines that meet each other at one point on a plane surface.
Q3. How many angles form when two lines intersect?
Four angles form when two lines intersect.
Q4. Can two straight lines intersect at more than one point?
No, two straight lines can intersect at only one point.
Q5. What is a linear pair?
A linear pair is a pair of adjacent angles formed on a straight line. The two angles always add up to 180°.
Q6. What are vertically opposite angles?
Vertically opposite angles are the opposite angles formed when two lines intersect. They are always equal.
Q7. If one angle in a linear pair is 120°, what is the other angle?
The other angle is 60°.
A linear pair adds up to 180°. So, 180° - 120° = 60°.
Q8. If two intersecting lines form one angle of 70°, what is its vertically opposite angle?
The vertically opposite angle is 70°.
Vertically opposite angles are always equal.
Linear Pair and Vertically Opposite Angles Class 7 Questions
Linear pair class 7 questions test the 180° angle rule. Vertically opposite angles class 7 questions test equality of opposite angles formed by intersecting lines.
Solved Questions on Linear Pair and Vertically Opposite Angles
Q1. In a pair of intersecting lines, ∠a = 120°. Find ∠b, ∠c, and ∠d.
∠b = 60°, ∠c = 120°, and ∠d = 60°.
∠a and ∠b form a linear pair, so they add up to 180°.
∠b = 180° - 120° = 60°.
∠a and ∠c are vertically opposite angles, so ∠c = 120°.
∠b and ∠d are vertically opposite angles, so ∠d = 60°.
Q2. List the linear pairs in a figure where four angles are named a, b, c, and d around an intersection.
The linear pairs are ∠a and ∠b, ∠b and ∠c, ∠c and ∠d, and ∠d and ∠a.
Each pair lies next to the other on a straight line.
Q3. List the vertically opposite angle pairs in the same figure.
The vertically opposite angle pairs are ∠a and ∠c, and ∠b and ∠d.
They lie opposite to each other when two lines intersect.
Q4. Why are vertically opposite angles always equal?
Vertically opposite angles are equal because each angle forms a linear pair with the same adjacent angle.
For example, if ∠a + ∠b = 180° and ∠c + ∠b = 180°, then ∠a = ∠c.
Q5. Two intersecting lines form one angle of 48°. Find all four angles.
The four angles are 48°, 132°, 48°, and 132°.
The vertically opposite angle is 48°. Each adjacent angle is 180° - 48° = 132°.
Perpendicular Lines Class 7 Questions
Perpendicular lines class 7 questions are based on right angles. Students should remember that perpendicular lines intersect, but all intersecting lines are not perpendicular.
Q1. What are perpendicular lines?
Perpendicular lines are lines that intersect at right angles.
Each angle formed by perpendicular lines measures 90°.
Q2. If two lines intersect and all four angles are equal, what is each angle?
Each angle is 90°.
The four angles together make 360°. So, each angle = 360° ÷ 4 = 90°.
Q3. Are all intersecting lines perpendicular?
No, all intersecting lines are not perpendicular.
Only lines that meet at 90° are called perpendicular lines.
Q4. How are perpendicular lines marked in geometry?
Perpendicular lines are marked with a small square angle symbol.
This symbol shows that the angle between the two lines is 90°.
Q5. Give two examples of perpendicular lines from daily life.
Adjacent edges of a square paper are perpendicular. The corner of a notebook also shows perpendicular lines.
Both examples show two line segments meeting at a right angle.
Parallel Lines Class 7 Questions
Parallel lines class 7 questions check whether students can identify lines that never meet. The lines must lie on the same plane to be called parallel.
Q1. What are parallel lines?
Parallel lines are lines on the same plane that never meet, however far they are extended.
They always remain the same distance apart.
Q2. Are opposite edges of a square sheet parallel?
Yes, opposite edges of a square sheet are parallel.
They do not meet even when extended.
Q3. Are adjacent edges of a square sheet parallel?
No, adjacent edges of a square sheet are not parallel.
They meet at a point and form a right angle, so they are perpendicular.
Q4. Why is it important that parallel lines lie on the same plane?
Parallel lines must lie on the same plane because lines on different surfaces may never meet but still cannot be called parallel.
For example, a line on a table and a line on a wall may not meet. They are not parallel unless they lie on the same plane.
Q5. How can students identify parallel lines in a diagram?
Students can identify parallel lines by checking whether the lines stay the same distance apart and never meet.
In angle-based questions, equal corresponding angles can also prove that two lines are parallel.
Transversal Class 7 Questions with Answers
Transversal class 7 questions are important because they connect parallel lines with angle relations. A transversal creates eight angles when it cuts two lines.
Q1. What is a transversal?
A transversal is a line that intersects two or more lines at different points.
In Class 7, students usually study a transversal cutting two lines.
Q2. How many angles form when a transversal intersects two lines?
Eight angles form when a transversal intersects two lines.
Four angles form at each point of intersection.
Q3. Can all eight angles formed by a transversal have different measures?
No, all eight angles cannot have different measures.
Vertically opposite angles at each intersection are equal, so some angles must have equal measures.
Q4. What is the maximum number of distinct angle measures when a transversal intersects two lines?
The maximum number of distinct angle measures is four.
This happens because vertically opposite angle pairs are equal.
Q5. Why are transversals useful in checking parallel lines?
Transversals help students compare corresponding angles and alternate angles.
If corresponding angles are equal, the two lines are parallel.
Corresponding Angles Class 7 Questions
Corresponding angles class 7 questions are high-value questions from this chapter. Students should learn their position and relation with parallel lines.
Q1. What are corresponding angles?
Corresponding angles are angles that occupy the same relative position at two intersections formed by a transversal.
For example, ∠1 and ∠5 are corresponding angles in the standard transversal diagram.
Q2. What is the relation between corresponding angles when lines are parallel?
Corresponding angles are equal when a transversal intersects a pair of parallel lines.
This rule helps students find unknown angles.
Q3. If one corresponding angle is 60°, what is the matching corresponding angle?
The matching corresponding angle is 60°, if the two lines are parallel.
Corresponding angles formed by a transversal on parallel lines are equal.
Q4. Can corresponding angles be equal if the two lines are not parallel?
No, corresponding angles cannot be equal when the two lines are not parallel.
Equal corresponding angles show that the pair of lines is parallel.
Q5. If ∠a = 120° and its corresponding angle ∠f = 70°, are the two lines parallel?
No, the two lines are not parallel.
For parallel lines, corresponding angles must be equal. Since 120° and 70° are not equal, the lines are not parallel.
Alternate Angles Class 7 Questions
Alternate angles class 7 questions test whether students can use corresponding angles and vertically opposite angles together. These questions appear often in angle-finding exercises.
Q1. What are alternate angles?
Alternate angles are angles that lie on opposite sides of a transversal.
When the two lines are parallel, alternate angles are equal.
Q2. What is the relation between alternate angles when lines are parallel?
Alternate angles are equal when a transversal intersects parallel lines.
This relation helps find unknown angles without measuring them.
Q3. If one alternate angle is 120°, what is the other alternate angle?
The other alternate angle is 120°, if the two lines are parallel.
Alternate angles formed by a transversal on parallel lines are equal.
Q4. In a parallel-line figure, ∠6 = 135°. What are the equal angles?
∠2, ∠4, ∠6, and ∠8 are 135°.
They are connected through corresponding angles and vertically opposite angles.
Q5. If ∠6 = 135°, what are the remaining four smaller angles?
The remaining four smaller angles are 45° each.
Each smaller angle forms a linear pair with 135°. So, 180° - 135° = 45°.
Interior Angles Class 7 Questions
Interior angles class 7 questions usually appear with parallel lines and a transversal. Students should remember that interior angles on the same side add up to 180°.
Q1. What are interior angles on the same side of a transversal?
Interior angles on the same side lie between the two lines and on the same side of the transversal.
They are also called co-interior angles in many school questions.
Q2. What is the sum of interior angles on the same side of a transversal?
The sum is 180°, when the transversal intersects parallel lines.
This rule helps students solve many angle questions.
Q3. If one interior angle is 50°, what is the interior angle on the same side?
The other interior angle is 130°.
Same-side interior angles add up to 180°. So, 180° - 50° = 130°.
Q4. If ∠3 = 50° in a parallel-line figure, what is ∠6?
∠6 = 130°.
∠3 and ∠6 are interior angles on the same side of the transversal. Their sum is 180°.
Q5. If one interior angle is 65°, what is the other same-side interior angle?
The other angle is 115°.
Same-side interior angles add up to 180°.
How to Solve Parallel and Intersecting Lines Class 7 Questions
Angle questions become easier when students identify the line relation first. Do not start calculating until you know whether the angles form a linear pair, vertically opposite pair, corresponding pair, alternate pair, or interior pair.
Use these rules while solving:
- Linear pair angles add up to 180°.
- Vertically opposite angles are equal.
- Perpendicular lines form 90° angles.
- Corresponding angles are equal when lines are parallel.
- Alternate angles are equal when lines are parallel.
- Same-side interior angles add up to 180°.
- Equal corresponding angles can prove that two lines are parallel.
A small diagram helps in most questions. Mark the known angle first, then write the rule before calculating.
Class 7 Maths Chapter 5 Extra Questions
Class 7 Maths Chapter 5 extra questions help students practise mixed diagrams. These questions combine linear pairs, vertically opposite angles, parallel lines, transversals, and angle sums.
Q1. Find the angle x if x and 58° form a linear pair.
x = 122°.
Linear pairs add up to 180°. So, x = 180° - 58° = 122°.
Q2. Find the angle x if x is vertically opposite to 97°.
x = 97°.
Vertically opposite angles are equal.
Q3. Find the angle x if x and 75° are alternate angles on parallel lines.
x = 75°.
Alternate angles are equal when the lines are parallel.
Q4. Find the angle x if x and 83° are corresponding angles on parallel lines.
x = 83°.
Corresponding angles are equal when a transversal intersects parallel lines.
Q5. Find the angle x if x and 69° are same-side interior angles.
x = 111°.
Same-side interior angles add up to 180°. So, x = 180° - 69° = 111°.
Q6. AB is parallel to CD and CD is parallel to EF. What can you say about AB and EF?
AB is parallel to EF.
Lines parallel to the same line are parallel to each other.
Q7. If EA is perpendicular to AB and AB is parallel to CD, what is the relation between EA and CD?
EA is perpendicular to CD.
A line perpendicular to one of two parallel lines is also perpendicular to the other line.
Q8. If two lines are cut by a transversal and one pair of corresponding angles is equal, what can we conclude?
We can conclude that the two lines are parallel.
Equal corresponding angles prove that a pair of lines is parallel.
Class 7 Maths Chapter 5 Worksheet Questions
Class 7 Maths Chapter 5 worksheet questions should include direct recall, diagrams, and reasoning. Students should solve these after revising the rules.
Q1. Define intersecting lines and draw one example.
Q2. Define parallel lines and give two daily-life examples.
Q3. Define perpendicular lines and explain how they differ from intersecting lines.
Q4. Two lines intersect. One angle is 52°. Find the other three angles.
Q5. Two lines intersect. One angle is 99°. Find its linear pair and vertically opposite angle.
Q6. A transversal cuts two parallel lines. One corresponding angle is 81°. Find the matching corresponding angle.
Q7. A transversal cuts two parallel lines. One alternate angle is 124°. Find the other alternate angle.
Q8. A transversal cuts two parallel lines. One same-side interior angle is 70°. Find the other interior angle.
Q9. Explain why corresponding angles help us check whether two lines are parallel.
Q10. Draw a line parallel to a given line through a point using a ruler and set square. Write the steps.
Most Important Exam Questions from Parallel and Intersecting Lines
These parallel and intersecting lines class 7 questions cover the highest-value exam ideas from the 2026 book. Students should practise them after learning the rules.
Q1. Prove that vertically opposite angles are equal.
Let two lines intersect and form angles ∠a, ∠b, ∠c, and ∠d.
Since ∠a and ∠b form a linear pair:
∠a + ∠b = 180°.
Since ∠c and ∠b also form a linear pair:
∠c + ∠b = 180°.
So, ∠a + ∠b = ∠c + ∠b.
Therefore, ∠a = ∠c.
This proves that vertically opposite angles are equal.
Q2. How can you draw a line parallel to a given line through point A?
Place one side of a set square along the given line. Hold a ruler firmly along the other side of the set square.
Slide the set square along the ruler until its edge reaches point A. Draw the new line through point A. The new line is parallel to the given line.
Q3. Why are two lines perpendicular to the same line parallel to each other?
Two lines perpendicular to the same line make equal corresponding angles of 90°.
When corresponding angles are equal, the two lines are parallel. So, the two perpendicular lines are parallel to each other.
Q4. If AB ∥ CD, AD ∥ BC, ∠DAC = 65°, and ∠ADC = 60°, find ∠CAB, ∠ABC, and ∠BCD.
Since AB ∥ CD and AD is a transversal:
∠ADC + ∠DAB = 180°.
60° + ∠DAB = 180°.
So, ∠DAB = 120°.
∠DAB = ∠DAC + ∠CAB.
120° = 65° + ∠CAB.
So, ∠CAB = 55°.
Since AD ∥ BC, ∠ADC + ∠BCD = 180°.
60° + ∠BCD = 180°.
So, ∠BCD = 120°.
Also, ∠ABC = 60°.
Therefore, ∠CAB = 55°, ∠ABC = 60°, and ∠BCD = 120°.
Q5. Why may measured angles sometimes not match the exact geometry rule?
Measured angles may differ slightly because of protractor errors or line thickness.
In geometry, lines are ideal and have no thickness. So, angle rules come from reasoning, not only measurement.
CBSE Class 7 Maths Important Links